Solution 1.3:3e

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Current revision (13:46, 22 September 2008) (edit) (undo)
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The number
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The number 9 can be written as <math>9=3\cdot 3=3^{2}</math> and hence the denominator in the expression is equal to
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<math>9</math>
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can be written as
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<math>9=3\centerdot 3=3^{2}</math>
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and hence the denominator in the expression is equal to
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{{Displayed math||<math>9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,</math>.}}
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<math>9^{2}=\left( 3^{2} \right)^{2}=3^{2\centerdot 2}=3^{4}</math>
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The whole quotient becomes
The whole quotient becomes
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{{Displayed math||<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>.}}
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<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>
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Current revision

The number 9 can be written as \displaystyle 9=3\cdot 3=3^{2} and hence the denominator in the expression is equal to

\displaystyle 9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,.

The whole quotient becomes

\displaystyle \frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}.
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